Details

sample58.0ms

Algorithm

intervals

Results

27.0ms

338×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4902
6	1065
5	403
4	228
3	106
2	49
1	25
0	14

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
8.2b	(/ (fma z 1.0 1) (* t z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv`

Counts

2 → 33

Calls

2 calls:

1.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
13.0ms	(/ (fma z 1.0 1) (* t z))

series213.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
101.0ms	(/ (fma z 1.0 1) (* t z))

simplify1.8s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
3	3113
2	536
1	158
0	74

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (+ (/ (/ 1 t) z) (/ 1.0 t)) 1) 2.0 (/ x y))
0.0b	(+ (/ (/ 1 t) z) (/ 1.0 t))
0.2b	(/ (/ 1 t) z)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

145×	`times-frac`
89×	`*-un-lft-identity`
80×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`fma-def`
13×	`associate-/l*`
12×	`add-exp-log`
10×	`div-inv`
8×	`add-cbrt-cube`
6×	`div-exp`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `associate-/r*` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `flip3-+` `1-exp` `frac-add` `flip-+` `fma-udef` `associate-/l/`

Counts

3 → 144

Calls

3 calls:

1.0ms	(fma (- (+ (/ (/ 1 t) z) (/ 1.0 t)) 1) 2.0 (/ x y))
72.0ms	(+ (/ (/ 1 t) z) (/ 1.0 t))
13.0ms	(/ (/ 1 t) z)

series179.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(fma (- (+ (/ (/ 1 t) z) (/ 1.0 t)) 1) 2.0 (/ x y))
49.0ms	(+ (/ (/ 1 t) z) (/ 1.0 t))
27.0ms	(/ (/ 1 t) z)

simplify1.1s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	1777
1	463
0	198

prune809.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (* 1 (+ (/ (/ 1 z) t) (/ 1.0 t))) 1) 2.0 (/ x y))
0.0b	(+ (/ (/ 1 z) t) (/ 1.0 t))
0.2b	(/ (/ 1 z) t)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
95×	`*-un-lft-identity`
84×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`fma-def`
14×	`div-inv`
13×	`associate-/l*`
12×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`div-exp`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `associate-/r*` `log1p-expm1-u`
1×	`+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `flip3-+` `distribute-rgt-out` `1-exp` `frac-add` `flip-+` `fma-udef` `associate-/l/`

Counts

3 → 149

Calls

3 calls:

1.0ms	(fma (- (* 1 (+ (/ (/ 1 z) t) (/ 1.0 t))) 1) 2.0 (/ x y))
103.0ms	(+ (/ (/ 1 z) t) (/ 1.0 t))
18.0ms	(/ (/ 1 z) t)

series137.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(fma (- (* 1 (+ (/ (/ 1 z) t) (/ 1.0 t))) 1) 2.0 (/ x y))
45.0ms	(+ (/ (/ 1 z) t) (/ 1.0 t))
12.0ms	(/ (/ 1 z) t)

simplify1.4s

Counts

158 → 158

Iterations

Iter	Nodes
done	5002
2	2094
1	481
0	203

prune910.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.8b	(/ 1 (* (cbrt z) (* (cbrt z) t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
10×	`pow1` `add-cbrt-cube`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `add-cube-cbrt`
6×	`div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `times-frac` `pow1/3` `1-exp` `pow-prod-down` `cbrt-unprod` `pow-flip` `associate-/l*`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `inv-pow`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
31.0ms	(/ 1 (* (cbrt z) (* (cbrt z) t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt z)
297.0ms	(cbrt z)
264.0ms	(cbrt z)
214.0ms	(/ 1 (* (cbrt z) (* (cbrt z) t)))

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	945
1	228
0	93

prune446.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
2	20
1	19
0	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s

10509×

body

valid